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12403507311 = 3213106012883
BaseRepresentation
bin10111000110100111…
…01000000001101111
31012000102101110022200
423203103220001233
5200400244213221
65410442112543
7616241033616
oct134323500157
935012343280
1012403507311
115295502698
1224a1aab753
131228933650
1485945687d
154c8dc8426
hex2e34e806f

12403507311 has 12 divisors (see below), whose sum is σ = 19294344888. Its totient is φ = 7632927504.

The previous prime is 12403507297. The next prime is 12403507327. The reversal of 12403507311 is 11370530421.

12403507311 is a `hidden beast` number, since 1 + 240 + 350 + 73 + 1 + 1 = 666.

12403507311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12403507311 - 227 = 12269289583 is a prime.

It is a super-2 number, since 2×124035073112 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12403507381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53006325 + ... + 53006558.

It is an arithmetic number, because the mean of its divisors is an integer number (1607862074).

Almost surely, 212403507311 is an apocalyptic number.

12403507311 is a deficient number, since it is larger than the sum of its proper divisors (6890837577).

12403507311 is a wasteful number, since it uses less digits than its factorization.

12403507311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106012902 (or 106012899 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 12403507311 in words is "twelve billion, four hundred three million, five hundred seven thousand, three hundred eleven".

Divisors: 1 3 9 13 39 117 106012883 318038649 954115947 1378167479 4134502437 12403507311